In the absence so far of any experimental indications of supersymmetry
(SUSY) [1]}, [2]}, [3]}, [4]}, [5]}, nor any
clear theoretical guidance how SUSY may be broken,
the building of models and the exploration of phenomenological constraints on them [6]}, [7]}, [8]}, [9]}, [10]}, [11]}
have adopted a range of assumptions. One point of view has been to consider the
simple parametrization of soft SUSY breaking in which the
gaugino and scalar masses, as well as the trilinear soft SUSY-breaking
parameters, are all constrained to be universal at the SUSY GUT scale (the
CMSSM [12]}, [13]}, [14]}, [15]}, [6]}, [7]}). An alternative point of view has been to discard all universality assumptions,
and treat the soft SUSY-breaking parameters as all independent
phenomenological quantities (the pMSSM [18]}, [9]}), imposing diagonal mass matrices and the
minimal flavour violation (MFV) criterion.
Intermediate between these extremes, models with one or two non-universal soft SUSY-breaking
contributions to Higgs masses (the NUHM1 [20]}, [21]}, [22]}, [23]}, [6]}, [7]} and NUHM2 [26]}, [27]}, [21]}, [22]}, [23]}, [8]}) have also been considered.
